Experiment
To analyse protection challenges created by a current-limited solar-PV inverter in a radial distribution feeder and apply directional supervision and adaptive relay setting groups.
Aim
Calculate balanced three-phase fault currents, determine the currents measured by primary and backup relays, evaluate IEC IDMT operating times, and verify selective circuit-breaker operation.
Learning outcomes
- Compare conventional-grid and inverter fault-current behaviour.
- Identify reverse-current sympathetic-tripping risk.
- Check pickup security, fault sensitivity and grading margin.
- Apply explicit setting groups and directional supervision.
Case A
Downstream feeder fault with PV disconnected.
Case B
Upstream bus fault with remote PV and fixed non-directional protection.
Case C
Repeat Case B with directional and adaptive protection.
Theory
Grid fault current
The grid is represented by a positive-sequence Thevenin impedance obtained from short-circuit level and X/R ratio. For a downstream fault, the impedance of the feeder section up to the fault is included.
|Zs| = VLL² / Ssc
Igrid = Vphase / |Zs + Zline + Rf|
Inverter fault response
The PV inverter is represented as either a current-limited ride-through source or momentary cessation. The ride-through current is based on rated current and the selected current limit, not multiplied directly by solar operating power.
Ipv,rated = Ppv / (√3 VLL)
Ipv,fault = klim × Ipv,rated
IEC IDMT relay
t = TMS × k / [(I / Ipickup)^α − 1]
| Curve | k | α |
|---|---|---|
| IEC Standard Inverse | 0.14 | 0.02 |
| IEC Very Inverse | 13.5 | 1.0 |
| IEC Extremely Inverse | 80 | 2.0 |
Pre-Test
Single-Line Diagram and Ratings
Effective settings and calculated impedances
Procedure
Observation Table
| Case | PV status | PV response/location | Fault zone | Igrid (A) | Ipv (A) | IR1 (A) | IR2 (A) | tR1 (s) | tR2 (s) | Margin (s) | Group | Method | Result |
|---|
Post-Test
Methodology Audit
- Unjustified fixed factors for L-G, L-L and L-L-G fault currents.
- PV fault current multiplied directly by solar operating percentage.
- Source impedance treated as purely resistive.
- Hidden adaptive-setting multipliers.
- Arbitrary 30-second cap on IEC relay time.
- Feeder impedance incorrectly included in an upstream bus fault.
- Balanced positive-sequence three-phase RMS fault model.
- Grid short-circuit level with explicit X/R decomposition.
- Current-limited ride-through or momentary cessation.
- Explicit SG-A and SG-B relay settings.
- IEC SI, VI and EI curves without hidden time clipping.
- Pickup security, sensitivity and grading checks.
Result and Conclusion
Suggested result statement
A current-limited inverter-based resource can change the magnitude, location and direction of fault-current contribution. Fixed non-directional overcurrent protection may operate undesirably when a remote PV source feeds an upstream fault. Explicit adaptive setting groups improve coordination for changing operating conditions, while directional supervision prevents reverse-current sympathetic tripping.
References used to frame the educational model
- MathWorks, “Overcurrent Relay Protection in AC Microgrid” — relay coordination, phase/earth protection and standard IEC/IEEE characteristics.
- National Renewable Energy Laboratory, “Protection” — inverter fault responses differ from synchronous generators and can provide only a small amount above rated current or cease current rapidly.
- NREL/NLR studies on IBR controls and relay elements — current limiting, momentary cessation and operating conditions affect protection response.